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Finding the Fourth Proportional to 553,391.70, 830,087.55 and 542,894.10

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Solution

The fourth proportional to 553,391.70, 830,087.55 and 542,894.10 is: 814,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,391.70 : 830,087.55 = 542,894.10 : x
  2. Step 2: Convert to fraction form
    553,391.70/830,087.55 = 542,894.10/x
  3. Step 3: Cross multiply
    553,391.70x = 830,087.55 × 542,894.10
  4. Step 4: Simplify right side
    553,391.70x = 450,649,633,378.46
  5. Step 5: Solve for x
    x = 450,649,633,378.46/553,391.70
  6. Step 6: Final answer
    x = 814,341.15

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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.