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Finding the Fourth Proportional to 742,438, 1,024,565.16 and 402,906.32

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Solution

The fourth proportional to 742,438, 1,024,565.16 and 402,906.32 is: 556,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,438 : 1,024,565.16 = 402,906.32 : x
  2. Step 2: Convert to fraction form
    742,438/1,024,565.16 = 402,906.32/x
  3. Step 3: Cross multiply
    742,438x = 1,024,565.16 × 402,906.32
  4. Step 4: Simplify right side
    742,438x = 412,803,778,215.81
  5. Step 5: Solve for x
    x = 412,803,778,215.81/742,438
  6. Step 6: Final answer
    x = 556,011.11

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1.5x scale

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.