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Finding the Fourth Proportional to 313,471.08, 470,264.94 and 103,117.32

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Solution

The fourth proportional to 313,471.08, 470,264.94 and 103,117.32 is: 154,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,471.08 : 470,264.94 = 103,117.32 : x
  2. Step 2: Convert to fraction form
    313,471.08/470,264.94 = 103,117.32/x
  3. Step 3: Cross multiply
    313,471.08x = 470,264.94 × 103,117.32
  4. Step 4: Simplify right side
    313,471.08x = 48,492,460,302.76
  5. Step 5: Solve for x
    x = 48,492,460,302.76/313,471.08
  6. Step 6: Final answer
    x = 154,695.16

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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.