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Finding the Fourth Proportional to 517,705.65, 714,294.32 and 302,898.51

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Solution

The fourth proportional to 517,705.65, 714,294.32 and 302,898.51 is: 417,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,705.65 : 714,294.32 = 302,898.51 : x
  2. Step 2: Convert to fraction form
    517,705.65/714,294.32 = 302,898.51/x
  3. Step 3: Cross multiply
    517,705.65x = 714,294.32 × 302,898.51
  4. Step 4: Simplify right side
    517,705.65x = 216,358,683,714.97
  5. Step 5: Solve for x
    x = 216,358,683,714.97/517,705.65
  6. Step 6: Final answer
    x = 417,918.34

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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.