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Finding the Fourth Proportional to 710,134,560, 980,015,957.98 and 396,868,764.76

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Solution

The fourth proportional to 710,134,560, 980,015,957.98 and 396,868,764.76 is: 547,695,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,134,560 : 980,015,957.98 = 396,868,764.76 : x
  2. Step 2: Convert to fraction form
    710,134,560/980,015,957.98 = 396,868,764.76/x
  3. Step 3: Cross multiply
    710,134,560x = 980,015,957.98 × 396,868,764.76
  4. Step 4: Simplify right side
    710,134,560x = 388,937,722,688,610,688
  5. Step 5: Solve for x
    x = 388,937,722,688,610,688/710,134,560
  6. Step 6: Final answer
    x = 547,695,809.49

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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.