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Finding the Fourth Proportional to 553,345.80, 830,018.70 and 198,371.40

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Solution

The fourth proportional to 553,345.80, 830,018.70 and 198,371.40 is: 297,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,345.80 : 830,018.70 = 198,371.40 : x
  2. Step 2: Convert to fraction form
    553,345.80/830,018.70 = 198,371.40/x
  3. Step 3: Cross multiply
    553,345.80x = 830,018.70 × 198,371.40
  4. Step 4: Simplify right side
    553,345.80x = 164,651,971,545.18
  5. Step 5: Solve for x
    x = 164,651,971,545.18/553,345.80
  6. Step 6: Final answer
    x = 297,557.10

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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.