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Finding the Fourth Proportional to 346,384.36, 478,000.74 and 195,495.40

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Solution

The fourth proportional to 346,384.36, 478,000.74 and 195,495.40 is: 269,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,384.36 : 478,000.74 = 195,495.40 : x
  2. Step 2: Convert to fraction form
    346,384.36/478,000.74 = 195,495.40/x
  3. Step 3: Cross multiply
    346,384.36x = 478,000.74 × 195,495.40
  4. Step 4: Simplify right side
    346,384.36x = 93,446,945,866.60
  5. Step 5: Solve for x
    x = 93,446,945,866.60/346,384.36
  6. Step 6: Final answer
    x = 269,778.19

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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.