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Finding the Fourth Proportional to 712,737.86, 983,602.74 and 390,447.88

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Solution

The fourth proportional to 712,737.86, 983,602.74 and 390,447.88 is: 538,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,737.86 : 983,602.74 = 390,447.88 : x
  2. Step 2: Convert to fraction form
    712,737.86/983,602.74 = 390,447.88/x
  3. Step 3: Cross multiply
    712,737.86x = 983,602.74 × 390,447.88
  4. Step 4: Simplify right side
    712,737.86x = 384,045,599,677.18
  5. Step 5: Solve for x
    x = 384,045,599,677.18/712,737.86
  6. Step 6: Final answer
    x = 538,831.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.