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Finding the Fourth Proportional to 497,698.65, 686,794.55 and 282,808.89

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Solution

The fourth proportional to 497,698.65, 686,794.55 and 282,808.89 is: 390,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,698.65 : 686,794.55 = 282,808.89 : x
  2. Step 2: Convert to fraction form
    497,698.65/686,794.55 = 282,808.89/x
  3. Step 3: Cross multiply
    497,698.65x = 686,794.55 × 282,808.89
  4. Step 4: Simplify right side
    497,698.65x = 194,231,602,929.51
  5. Step 5: Solve for x
    x = 194,231,602,929.51/497,698.65
  6. Step 6: Final answer
    x = 390,259.45

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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.