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Finding the Fourth Proportional to 772,557,751.80, 1,158,836,627.70 and 742,425,047.10

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Solution

The fourth proportional to 772,557,751.80, 1,158,836,627.70 and 742,425,047.10 is: 1,113,637,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,557,751.80 : 1,158,836,627.70 = 742,425,047.10 : x
  2. Step 2: Convert to fraction form
    772,557,751.80/1,158,836,627.70 = 742,425,047.10/x
  3. Step 3: Cross multiply
    772,557,751.80x = 1,158,836,627.70 × 742,425,047.10
  4. Step 4: Simplify right side
    772,557,751.80x = 860,349,337,901,377,664
  5. Step 5: Solve for x
    x = 860,349,337,901,377,664/772,557,751.80
  6. Step 6: Final answer
    x = 1,113,637,570.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.