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Finding the Fourth Proportional to 553,609,080.80, 830,413,621.20 and 323,459,698.40

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Solution

The fourth proportional to 553,609,080.80, 830,413,621.20 and 323,459,698.40 is: 485,189,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,609,080.80 : 830,413,621.20 = 323,459,698.40 : x
  2. Step 2: Convert to fraction form
    553,609,080.80/830,413,621.20 = 323,459,698.40/x
  3. Step 3: Cross multiply
    553,609,080.80x = 830,413,621.20 × 323,459,698.40
  4. Step 4: Simplify right side
    553,609,080.80x = 268,605,339,460,603,840
  5. Step 5: Solve for x
    x = 268,605,339,460,603,840/553,609,080.80
  6. Step 6: Final answer
    x = 485,189,547.60

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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.