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Finding the Fourth Proportional to 347,264.80, 520,897.20 and 205,547.20

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Solution

The fourth proportional to 347,264.80, 520,897.20 and 205,547.20 is: 308,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,264.80 : 520,897.20 = 205,547.20 : x
  2. Step 2: Convert to fraction form
    347,264.80/520,897.20 = 205,547.20/x
  3. Step 3: Cross multiply
    347,264.80x = 520,897.20 × 205,547.20
  4. Step 4: Simplify right side
    347,264.80x = 107,068,960,947.84
  5. Step 5: Solve for x
    x = 107,068,960,947.84/347,264.80
  6. Step 6: Final answer
    x = 308,320.80

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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.