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Finding the Fourth Proportional to 788,277, 1,087,826.64 and 430,581

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Solution

The fourth proportional to 788,277, 1,087,826.64 and 430,581 is: 594,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,277 : 1,087,826.64 = 430,581 : x
  2. Step 2: Convert to fraction form
    788,277/1,087,826.64 = 430,581/x
  3. Step 3: Cross multiply
    788,277x = 1,087,826.64 × 430,581
  4. Step 4: Simplify right side
    788,277x = 468,397,482,477.84
  5. Step 5: Solve for x
    x = 468,397,482,477.84/788,277
  6. Step 6: Final answer
    x = 594,204.17

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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.