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Finding the Fourth Proportional to 553,641, 830,814.72 and 198,647.16

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Solution

The fourth proportional to 553,641, 830,814.72 and 198,647.16 is: 298,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,641 : 830,814.72 = 198,647.16 : x
  2. Step 2: Convert to fraction form
    553,641/830,814.72 = 198,647.16/x
  3. Step 3: Cross multiply
    553,641x = 830,814.72 × 198,647.16
  4. Step 4: Simplify right side
    553,641x = 165,038,984,614.20
  5. Step 5: Solve for x
    x = 165,038,984,614.20/553,641
  6. Step 6: Final answer
    x = 298,097.48

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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.