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Finding the Fourth Proportional to 406,436.16, 560,802.24 and 255,445.92

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Solution

The fourth proportional to 406,436.16, 560,802.24 and 255,445.92 is: 352,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,436.16 : 560,802.24 = 255,445.92 : x
  2. Step 2: Convert to fraction form
    406,436.16/560,802.24 = 255,445.92/x
  3. Step 3: Cross multiply
    406,436.16x = 560,802.24 × 255,445.92
  4. Step 4: Simplify right side
    406,436.16x = 143,254,644,134.86
  5. Step 5: Solve for x
    x = 143,254,644,134.86/406,436.16
  6. Step 6: Final answer
    x = 352,465.30

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1.5x scale

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.