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Finding the Fourth Proportional to 560,091.47, 772,986.18 and 342,427.87

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Solution

The fourth proportional to 560,091.47, 772,986.18 and 342,427.87 is: 472,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,091.47 : 772,986.18 = 342,427.87 : x
  2. Step 2: Convert to fraction form
    560,091.47/772,986.18 = 342,427.87/x
  3. Step 3: Cross multiply
    560,091.47x = 772,986.18 × 342,427.87
  4. Step 4: Simplify right side
    560,091.47x = 264,692,011,156.84
  5. Step 5: Solve for x
    x = 264,692,011,156.84/560,091.47
  6. Step 6: Final answer
    x = 472,587.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.