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Finding the Fourth Proportional to 777,348.89, 1,163,389.71 and 478,019.06

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Solution

The fourth proportional to 777,348.89, 1,163,389.71 and 478,019.06 is: 715,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,348.89 : 1,163,389.71 = 478,019.06 : x
  2. Step 2: Convert to fraction form
    777,348.89/1,163,389.71 = 478,019.06/x
  3. Step 3: Cross multiply
    777,348.89x = 1,163,389.71 × 478,019.06
  4. Step 4: Simplify right side
    777,348.89x = 556,122,455,587.87
  5. Step 5: Solve for x
    x = 556,122,455,587.87/777,348.89
  6. Step 6: Final answer
    x = 715,409.08

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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.