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Finding the Fourth Proportional to 314,784, 434,420.16 and 180,656.64

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Solution

The fourth proportional to 314,784, 434,420.16 and 180,656.64 is: 249,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,784 : 434,420.16 = 180,656.64 : x
  2. Step 2: Convert to fraction form
    314,784/434,420.16 = 180,656.64/x
  3. Step 3: Cross multiply
    314,784x = 434,420.16 × 180,656.64
  4. Step 4: Simplify right side
    314,784x = 78,480,886,453.86
  5. Step 5: Solve for x
    x = 78,480,886,453.86/314,784
  6. Step 6: Final answer
    x = 249,316.63

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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.