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Finding the Fourth Proportional to 489,969,063.60, 734,953,595.40 and 316,506,721.20

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Solution

The fourth proportional to 489,969,063.60, 734,953,595.40 and 316,506,721.20 is: 474,760,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,969,063.60 : 734,953,595.40 = 316,506,721.20 : x
  2. Step 2: Convert to fraction form
    489,969,063.60/734,953,595.40 = 316,506,721.20/x
  3. Step 3: Cross multiply
    489,969,063.60x = 734,953,595.40 × 316,506,721.20
  4. Step 4: Simplify right side
    489,969,063.60x = 232,617,752,714,205,376
  5. Step 5: Solve for x
    x = 232,617,752,714,205,376/489,969,063.60
  6. Step 6: Final answer
    x = 474,760,081.80

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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.