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Finding the Fourth Proportional to 402,565.40, 564,421 and 402,565.40

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Solution

The fourth proportional to 402,565.40, 564,421 and 402,565.40 is: 564,421

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,565.40 : 564,421 = 402,565.40 : x
  2. Step 2: Convert to fraction form
    402,565.40/564,421 = 402,565.40/x
  3. Step 3: Cross multiply
    402,565.40x = 564,421 × 402,565.40
  4. Step 4: Simplify right side
    402,565.40x = 227,216,365,633.40
  5. Step 5: Solve for x
    x = 227,216,365,633.40/402,565.40
  6. Step 6: Final answer
    x = 564,421

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.