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Finding the Fourth Proportional to 1,071,700, 1,607,068.32 and 770,920

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Solution

The fourth proportional to 1,071,700, 1,607,068.32 and 770,920 is: 1,156,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,700 : 1,607,068.32 = 770,920 : x
  2. Step 2: Convert to fraction form
    1,071,700/1,607,068.32 = 770,920/x
  3. Step 3: Cross multiply
    1,071,700x = 1,607,068.32 × 770,920
  4. Step 4: Simplify right side
    1,071,700x = 1,238,921,109,254.40
  5. Step 5: Solve for x
    x = 1,238,921,109,254.40/1,071,700
  6. Step 6: Final answer
    x = 1,156,033.51

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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.