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Finding the Fourth Proportional to 510,643.84, 766,018.16 and 195,365.92

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Solution

The fourth proportional to 510,643.84, 766,018.16 and 195,365.92 is: 293,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,643.84 : 766,018.16 = 195,365.92 : x
  2. Step 2: Convert to fraction form
    510,643.84/766,018.16 = 195,365.92/x
  3. Step 3: Cross multiply
    510,643.84x = 766,018.16 × 195,365.92
  4. Step 4: Simplify right side
    510,643.84x = 149,653,842,565.11
  5. Step 5: Solve for x
    x = 149,653,842,565.11/510,643.84
  6. Step 6: Final answer
    x = 293,068.93

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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.