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Finding the Fourth Proportional to 470,812.50, 706,529.79 and 221,513.94

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Solution

The fourth proportional to 470,812.50, 706,529.79 and 221,513.94 is: 332,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,812.50 : 706,529.79 = 221,513.94 : x
  2. Step 2: Convert to fraction form
    470,812.50/706,529.79 = 221,513.94/x
  3. Step 3: Cross multiply
    470,812.50x = 706,529.79 × 221,513.94
  4. Step 4: Simplify right side
    470,812.50x = 156,506,197,510.27
  5. Step 5: Solve for x
    x = 156,506,197,510.27/470,812.50
  6. Step 6: Final answer
    x = 332,417.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.