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Finding the Fourth Proportional to 553,609,061.80, 830,413,592.70 and 323,459,679.40

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Solution

The fourth proportional to 553,609,061.80, 830,413,592.70 and 323,459,679.40 is: 485,189,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,609,061.80 : 830,413,592.70 = 323,459,679.40 : x
  2. Step 2: Convert to fraction form
    553,609,061.80/830,413,592.70 = 323,459,679.40/x
  3. Step 3: Cross multiply
    553,609,061.80x = 830,413,592.70 × 323,459,679.40
  4. Step 4: Simplify right side
    553,609,061.80x = 268,605,314,464,144,192
  5. Step 5: Solve for x
    x = 268,605,314,464,144,192/553,609,061.80
  6. Step 6: Final answer
    x = 485,189,519.10

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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.