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Finding the Fourth Proportional to 553,339.71, 830,030.13 and 193,440.15

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Solution

The fourth proportional to 553,339.71, 830,030.13 and 193,440.15 is: 290,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,339.71 : 830,030.13 = 193,440.15 : x
  2. Step 2: Convert to fraction form
    553,339.71/830,030.13 = 193,440.15/x
  3. Step 3: Cross multiply
    553,339.71x = 830,030.13 × 193,440.15
  4. Step 4: Simplify right side
    553,339.71x = 160,561,152,851.72
  5. Step 5: Solve for x
    x = 160,561,152,851.72/553,339.71
  6. Step 6: Final answer
    x = 290,167.41

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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.