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Finding the Fourth Proportional to 304,503.68, 420,215.91 and 168,547

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Solution

The fourth proportional to 304,503.68, 420,215.91 and 168,547 is: 232,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,503.68 : 420,215.91 = 168,547 : x
  2. Step 2: Convert to fraction form
    304,503.68/420,215.91 = 168,547/x
  3. Step 3: Cross multiply
    304,503.68x = 420,215.91 × 168,547
  4. Step 4: Simplify right side
    304,503.68x = 70,826,130,982.77
  5. Step 5: Solve for x
    x = 70,826,130,982.77/304,503.68
  6. Step 6: Final answer
    x = 232,595.32

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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.