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Finding the Fourth Proportional to 355,421.80, 532,355.10 and 316,023.40

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Solution

The fourth proportional to 355,421.80, 532,355.10 and 316,023.40 is: 473,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,421.80 : 532,355.10 = 316,023.40 : x
  2. Step 2: Convert to fraction form
    355,421.80/532,355.10 = 316,023.40/x
  3. Step 3: Cross multiply
    355,421.80x = 532,355.10 × 316,023.40
  4. Step 4: Simplify right side
    355,421.80x = 168,236,668,709.34
  5. Step 5: Solve for x
    x = 168,236,668,709.34/355,421.80
  6. Step 6: Final answer
    x = 473,343.70

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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.