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Finding the Fourth Proportional to 402,159.60, 603,458.10 and 165,526.20

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Solution

The fourth proportional to 402,159.60, 603,458.10 and 165,526.20 is: 248,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,159.60 : 603,458.10 = 165,526.20 : x
  2. Step 2: Convert to fraction form
    402,159.60/603,458.10 = 165,526.20/x
  3. Step 3: Cross multiply
    402,159.60x = 603,458.10 × 165,526.20
  4. Step 4: Simplify right side
    402,159.60x = 99,888,126,152.22
  5. Step 5: Solve for x
    x = 99,888,126,152.22/402,159.60
  6. Step 6: Final answer
    x = 248,379.32

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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.