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Finding the Fourth Proportional to 345,854.96, 477,501.98 and 216,970.14

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Solution

The fourth proportional to 345,854.96, 477,501.98 and 216,970.14 is: 299,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,854.96 : 477,501.98 = 216,970.14 : x
  2. Step 2: Convert to fraction form
    345,854.96/477,501.98 = 216,970.14/x
  3. Step 3: Cross multiply
    345,854.96x = 477,501.98 × 216,970.14
  4. Step 4: Simplify right side
    345,854.96x = 103,603,671,450.88
  5. Step 5: Solve for x
    x = 103,603,671,450.88/345,854.96
  6. Step 6: Final answer
    x = 299,558.15

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1.5x scale

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.