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Finding the Fourth Proportional to 502,931, 693,923.16 and 319,102.64

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Solution

The fourth proportional to 502,931, 693,923.16 and 319,102.64 is: 440,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,931 : 693,923.16 = 319,102.64 : x
  2. Step 2: Convert to fraction form
    502,931/693,923.16 = 319,102.64/x
  3. Step 3: Cross multiply
    502,931x = 693,923.16 × 319,102.64
  4. Step 4: Simplify right side
    502,931x = 221,432,712,313.14
  5. Step 5: Solve for x
    x = 221,432,712,313.14/502,931
  6. Step 6: Final answer
    x = 440,284.48

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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.