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Finding the Fourth Proportional to 472,275.20, 708,412.80 and 425,619.20

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Solution

The fourth proportional to 472,275.20, 708,412.80 and 425,619.20 is: 638,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,275.20 : 708,412.80 = 425,619.20 : x
  2. Step 2: Convert to fraction form
    472,275.20/708,412.80 = 425,619.20/x
  3. Step 3: Cross multiply
    472,275.20x = 708,412.80 × 425,619.20
  4. Step 4: Simplify right side
    472,275.20x = 301,514,089,205.76
  5. Step 5: Solve for x
    x = 301,514,089,205.76/472,275.20
  6. Step 6: Final answer
    x = 638,428.80

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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.