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Finding the Fourth Proportional to 761,715, 1,051,200.99 and 435,056.40

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Solution

The fourth proportional to 761,715, 1,051,200.99 and 435,056.40 is: 600,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,715 : 1,051,200.99 = 435,056.40 : x
  2. Step 2: Convert to fraction form
    761,715/1,051,200.99 = 435,056.40/x
  3. Step 3: Cross multiply
    761,715x = 1,051,200.99 × 435,056.40
  4. Step 4: Simplify right side
    761,715x = 457,331,718,385.84
  5. Step 5: Solve for x
    x = 457,331,718,385.84/761,715
  6. Step 6: Final answer
    x = 600,397.42

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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.