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Finding the Fourth Proportional to 432,009.80, 648,014.70 and 429,385.40

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Solution

The fourth proportional to 432,009.80, 648,014.70 and 429,385.40 is: 644,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,009.80 : 648,014.70 = 429,385.40 : x
  2. Step 2: Convert to fraction form
    432,009.80/648,014.70 = 429,385.40/x
  3. Step 3: Cross multiply
    432,009.80x = 648,014.70 × 429,385.40
  4. Step 4: Simplify right side
    432,009.80x = 278,248,051,165.38
  5. Step 5: Solve for x
    x = 278,248,051,165.38/432,009.80
  6. Step 6: Final answer
    x = 644,078.10

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1.5x scale

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.