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Finding the Fourth Proportional to 314,209.90, 433,871.58 and 291,416.50

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Solution

The fourth proportional to 314,209.90, 433,871.58 and 291,416.50 is: 402,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,209.90 : 433,871.58 = 291,416.50 : x
  2. Step 2: Convert to fraction form
    314,209.90/433,871.58 = 291,416.50/x
  3. Step 3: Cross multiply
    314,209.90x = 433,871.58 × 291,416.50
  4. Step 4: Simplify right side
    314,209.90x = 126,437,337,293.07
  5. Step 5: Solve for x
    x = 126,437,337,293.07/314,209.90
  6. Step 6: Final answer
    x = 402,397.69

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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.