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Finding the Fourth Proportional to 509,386.33, 702,956.51 and 318,511.45

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Solution

The fourth proportional to 509,386.33, 702,956.51 and 318,511.45 is: 439,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,386.33 : 702,956.51 = 318,511.45 : x
  2. Step 2: Convert to fraction form
    509,386.33/702,956.51 = 318,511.45/x
  3. Step 3: Cross multiply
    509,386.33x = 702,956.51 × 318,511.45
  4. Step 4: Simplify right side
    509,386.33x = 223,899,697,287.04
  5. Step 5: Solve for x
    x = 223,899,697,287.04/509,386.33
  6. Step 6: Final answer
    x = 439,547.91

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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.