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Finding the Fourth Proportional to 433,809.90, 651,492.45 and 315,614.70

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Solution

The fourth proportional to 433,809.90, 651,492.45 and 315,614.70 is: 473,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,809.90 : 651,492.45 = 315,614.70 : x
  2. Step 2: Convert to fraction form
    433,809.90/651,492.45 = 315,614.70/x
  3. Step 3: Cross multiply
    433,809.90x = 651,492.45 × 315,614.70
  4. Step 4: Simplify right side
    433,809.90x = 205,620,594,159.02
  5. Step 5: Solve for x
    x = 205,620,594,159.02/433,809.90
  6. Step 6: Final answer
    x = 473,987.79

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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.