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Finding the Fourth Proportional to 312,421.07, 468,534.74 and 112,715.51

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Solution

The fourth proportional to 312,421.07, 468,534.74 and 112,715.51 is: 169,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,421.07 : 468,534.74 = 112,715.51 : x
  2. Step 2: Convert to fraction form
    312,421.07/468,534.74 = 112,715.51/x
  3. Step 3: Cross multiply
    312,421.07x = 468,534.74 × 112,715.51
  4. Step 4: Simplify right side
    312,421.07x = 52,811,130,110.93
  5. Step 5: Solve for x
    x = 52,811,130,110.93/312,421.07
  6. Step 6: Final answer
    x = 169,038.31

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1.5x scale

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.