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Finding the Fourth Proportional to 655,465.60, 904,676.51 and 413,585.20

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Solution

The fourth proportional to 655,465.60, 904,676.51 and 413,585.20 is: 570,832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,465.60 : 904,676.51 = 413,585.20 : x
  2. Step 2: Convert to fraction form
    655,465.60/904,676.51 = 413,585.20/x
  3. Step 3: Cross multiply
    655,465.60x = 904,676.51 × 413,585.20
  4. Step 4: Simplify right side
    655,465.60x = 374,160,815,323.65
  5. Step 5: Solve for x
    x = 374,160,815,323.65/655,465.60
  6. Step 6: Final answer
    x = 570,832.12

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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.