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Finding the Fourth Proportional to 647,258,482.80, 971,013,695.40 and 187,211,660.40

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Solution

The fourth proportional to 647,258,482.80, 971,013,695.40 and 187,211,660.40 is: 280,853,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,258,482.80 : 971,013,695.40 = 187,211,660.40 : x
  2. Step 2: Convert to fraction form
    647,258,482.80/971,013,695.40 = 187,211,660.40/x
  3. Step 3: Cross multiply
    647,258,482.80x = 971,013,695.40 × 187,211,660.40
  4. Step 4: Simplify right side
    647,258,482.80x = 181,785,086,186,973,856
  5. Step 5: Solve for x
    x = 181,785,086,186,973,856/647,258,482.80
  6. Step 6: Final answer
    x = 280,853,926.24

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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.