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Finding the Fourth Proportional to 498,038.16, 687,940.88 and 402,903.64

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Solution

The fourth proportional to 498,038.16, 687,940.88 and 402,903.64 is: 556,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,038.16 : 687,940.88 = 402,903.64 : x
  2. Step 2: Convert to fraction form
    498,038.16/687,940.88 = 402,903.64/x
  3. Step 3: Cross multiply
    498,038.16x = 687,940.88 × 402,903.64
  4. Step 4: Simplify right side
    498,038.16x = 277,173,884,656.80
  5. Step 5: Solve for x
    x = 277,173,884,656.80/498,038.16
  6. Step 6: Final answer
    x = 556,531.42

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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.