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Finding the Fourth Proportional to 698,429.52, 963,807.12 and 426,952.08

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Solution

The fourth proportional to 698,429.52, 963,807.12 and 426,952.08 is: 589,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,429.52 : 963,807.12 = 426,952.08 : x
  2. Step 2: Convert to fraction form
    698,429.52/963,807.12 = 426,952.08/x
  3. Step 3: Cross multiply
    698,429.52x = 963,807.12 × 426,952.08
  4. Step 4: Simplify right side
    698,429.52x = 411,499,454,602.81
  5. Step 5: Solve for x
    x = 411,499,454,602.81/698,429.52
  6. Step 6: Final answer
    x = 589,178.21

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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.