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Finding the Fourth Proportional to 647,430.80, 894,018.64 and 406,128.16

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Solution

The fourth proportional to 647,430.80, 894,018.64 and 406,128.16 is: 560,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,430.80 : 894,018.64 = 406,128.16 : x
  2. Step 2: Convert to fraction form
    647,430.80/894,018.64 = 406,128.16/x
  3. Step 3: Cross multiply
    647,430.80x = 894,018.64 × 406,128.16
  4. Step 4: Simplify right side
    647,430.80x = 363,086,145,268.90
  5. Step 5: Solve for x
    x = 363,086,145,268.90/647,430.80
  6. Step 6: Final answer
    x = 560,810.74

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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.