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Finding the Fourth Proportional to 460,643,347, 690,965,020.50 and 153,935,459.88

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Solution

The fourth proportional to 460,643,347, 690,965,020.50 and 153,935,459.88 is: 230,903,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,643,347 : 690,965,020.50 = 153,935,459.88 : x
  2. Step 2: Convert to fraction form
    460,643,347/690,965,020.50 = 153,935,459.88/x
  3. Step 3: Cross multiply
    460,643,347x = 690,965,020.50 × 153,935,459.88
  4. Step 4: Simplify right side
    460,643,347x = 106,364,018,191,661,120
  5. Step 5: Solve for x
    x = 106,364,018,191,661,120/460,643,347
  6. Step 6: Final answer
    x = 230,903,189.82

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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.