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Finding the Fourth Proportional to 528,854.16, 729,113.72 and 420,320.88

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Solution

The fourth proportional to 528,854.16, 729,113.72 and 420,320.88 is: 579,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,854.16 : 729,113.72 = 420,320.88 : x
  2. Step 2: Convert to fraction form
    528,854.16/729,113.72 = 420,320.88/x
  3. Step 3: Cross multiply
    528,854.16x = 729,113.72 × 420,320.88
  4. Step 4: Simplify right side
    528,854.16x = 306,461,720,410.47
  5. Step 5: Solve for x
    x = 306,461,720,410.47/528,854.16
  6. Step 6: Final answer
    x = 579,482.48

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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.