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Finding the Fourth Proportional to 340,826,806.80, 511,240,210.20 and 286,407,248.40

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Solution

The fourth proportional to 340,826,806.80, 511,240,210.20 and 286,407,248.40 is: 429,610,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,826,806.80 : 511,240,210.20 = 286,407,248.40 : x
  2. Step 2: Convert to fraction form
    340,826,806.80/511,240,210.20 = 286,407,248.40/x
  3. Step 3: Cross multiply
    340,826,806.80x = 511,240,210.20 × 286,407,248.40
  4. Step 4: Simplify right side
    340,826,806.80x = 146,422,901,874,819,584
  5. Step 5: Solve for x
    x = 146,422,901,874,819,584/340,826,806.80
  6. Step 6: Final answer
    x = 429,610,872.60

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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.