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Finding the Fourth Proportional to 209,952,587.80, 314,928,881.70 and 128,323,250.20

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Solution

The fourth proportional to 209,952,587.80, 314,928,881.70 and 128,323,250.20 is: 192,484,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,587.80 : 314,928,881.70 = 128,323,250.20 : x
  2. Step 2: Convert to fraction form
    209,952,587.80/314,928,881.70 = 128,323,250.20/x
  3. Step 3: Cross multiply
    209,952,587.80x = 314,928,881.70 × 128,323,250.20
  4. Step 4: Simplify right side
    209,952,587.80x = 40,412,697,681,595,304
  5. Step 5: Solve for x
    x = 40,412,697,681,595,304/209,952,587.80
  6. Step 6: Final answer
    x = 192,484,875.30

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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.