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Finding the Fourth Proportional to 787,920, 1,087,332.48 and 430,224

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Solution

The fourth proportional to 787,920, 1,087,332.48 and 430,224 is: 593,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,920 : 1,087,332.48 = 430,224 : x
  2. Step 2: Convert to fraction form
    787,920/1,087,332.48 = 430,224/x
  3. Step 3: Cross multiply
    787,920x = 1,087,332.48 × 430,224
  4. Step 4: Simplify right side
    787,920x = 467,796,528,875.52
  5. Step 5: Solve for x
    x = 467,796,528,875.52/787,920
  6. Step 6: Final answer
    x = 593,710.69

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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.