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Finding the Fourth Proportional to 470,564, 649,378.32 and 258,596

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Solution

The fourth proportional to 470,564, 649,378.32 and 258,596 is: 356,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,564 : 649,378.32 = 258,596 : x
  2. Step 2: Convert to fraction form
    470,564/649,378.32 = 258,596/x
  3. Step 3: Cross multiply
    470,564x = 649,378.32 × 258,596
  4. Step 4: Simplify right side
    470,564x = 167,926,636,038.72
  5. Step 5: Solve for x
    x = 167,926,636,038.72/470,564
  6. Step 6: Final answer
    x = 356,862.48

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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.