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Finding the Fourth Proportional to 719,730, 993,314.88 and 417,924

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Solution

The fourth proportional to 719,730, 993,314.88 and 417,924 is: 576,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,730 : 993,314.88 = 417,924 : x
  2. Step 2: Convert to fraction form
    719,730/993,314.88 = 417,924/x
  3. Step 3: Cross multiply
    719,730x = 993,314.88 × 417,924
  4. Step 4: Simplify right side
    719,730x = 415,130,127,909.12
  5. Step 5: Solve for x
    x = 415,130,127,909.12/719,730
  6. Step 6: Final answer
    x = 576,785.92

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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.