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Finding the Fourth Proportional to 310,475,365.20, 465,713,047.80 and 232,991,267.40

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Solution

The fourth proportional to 310,475,365.20, 465,713,047.80 and 232,991,267.40 is: 349,486,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,475,365.20 : 465,713,047.80 = 232,991,267.40 : x
  2. Step 2: Convert to fraction form
    310,475,365.20/465,713,047.80 = 232,991,267.40/x
  3. Step 3: Cross multiply
    310,475,365.20x = 465,713,047.80 × 232,991,267.40
  4. Step 4: Simplify right side
    310,475,365.20x = 108,507,073,251,638,784
  5. Step 5: Solve for x
    x = 108,507,073,251,638,784/310,475,365.20
  6. Step 6: Final answer
    x = 349,486,901.10

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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.