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Finding the Fourth Proportional to 315,224.84, 470,061.03 and 312,381.74

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Solution

The fourth proportional to 315,224.84, 470,061.03 and 312,381.74 is: 465,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,224.84 : 470,061.03 = 312,381.74 : x
  2. Step 2: Convert to fraction form
    315,224.84/470,061.03 = 312,381.74/x
  3. Step 3: Cross multiply
    315,224.84x = 470,061.03 × 312,381.74
  4. Step 4: Simplify right side
    315,224.84x = 146,838,484,804.18
  5. Step 5: Solve for x
    x = 146,838,484,804.18/315,224.84
  6. Step 6: Final answer
    x = 465,821.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.