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Finding the Fourth Proportional to 290,304,041.80, 435,456,062.70 and 260,742,800.20

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Solution

The fourth proportional to 290,304,041.80, 435,456,062.70 and 260,742,800.20 is: 391,114,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304,041.80 : 435,456,062.70 = 260,742,800.20 : x
  2. Step 2: Convert to fraction form
    290,304,041.80/435,456,062.70 = 260,742,800.20/x
  3. Step 3: Cross multiply
    290,304,041.80x = 435,456,062.70 × 260,742,800.20
  4. Step 4: Simplify right side
    290,304,041.80x = 113,542,033,152,464,768
  5. Step 5: Solve for x
    x = 113,542,033,152,464,768/290,304,041.80
  6. Step 6: Final answer
    x = 391,114,200.30

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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.