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Finding the Fourth Proportional to 761,663.12, 1,142,779 and 406,479.74

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Solution

The fourth proportional to 761,663.12, 1,142,779 and 406,479.74 is: 609,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,663.12 : 1,142,779 = 406,479.74 : x
  2. Step 2: Convert to fraction form
    761,663.12/1,142,779 = 406,479.74/x
  3. Step 3: Cross multiply
    761,663.12x = 1,142,779 × 406,479.74
  4. Step 4: Simplify right side
    761,663.12x = 464,516,510,797.46
  5. Step 5: Solve for x
    x = 464,516,510,797.46/761,663.12
  6. Step 6: Final answer
    x = 609,871.34

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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.